Write an equation that expresses the relationship. Use k as the constant of variation.
-If the voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 300 milliamperes when the resistance is 4 ohms, find the current when the resistance is 24 ohms.
A) 50 milliamperes
B) 1800 milliamperes
C) 1794 milliamperes
D) 200 milliamperes

Question

Quizplus · Accepted Answer

The relationship is given by $V = I \times R$, where $V$ is constant. Since $I$ is inversely proportional to $R$, we can write $I = \frac{k}{R}$. Given $I = 300$ milliamperes when $R = 4$ ohms, we find $k = 1200$. For $R = 24$ ohms, $I = \frac{1200}{24} = 50$ milliamperes.

Write an Equation That Expresses the Relationship